Question

Drag and drop the reasons to match the statements into the correct location to complete the proof. The line that makes the angle is facing the right, so the angle of the left is bigger.
the angle on the left says m1=11x-6 and on the right side it says m2=42+21
Statements: Reasons:
1) Angles 1 and 2 are a linear pair 1) Given
2) Angles 1 and 2 are supplementary 2) Linear Pair Postulate
3)m<1+m<2=180 degrees 3)_______________________
4)11x-6+4x+21=180 4)_______________________
5)15x+15=180 5)_______________________
6)15x=165 6)_______________________
7)x=11 7)
Word bank:
Combine like terms
definition of supplementary angles
substitution
division property of equality
subtraction property of equality

Answer 1

Based on the statements and reasons provided, here’s the completed proof:

Statements: Reasons:
1) Angles 1 and 2 are a linear pair 1) Given
2) Angles 1 and 2 are supplementary 2) Linear Pair Postulate
3)m<1+m<2=180 degrees 3) Definition of Supplementary Angles
4)11x-6+4x+21=180 4) Substitution (substituting the expressions for m<1 and m<2)
5)15x+15=180 5) Combine Like Terms
6)15x=165 6) Subtraction Property of Equality
7)x=11 7) Division Property of Equality

This arrangement places the reasons in their correct sequence to support the statements made in the proof.